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Könyv A Basic Course in Topology Gerd Laures

A Basic Course in Topology

Szerző: Gerd Laures, Markus Szymik
Nyelv: Angol
Kötés: Puha kötésű
Kiadó: Springer, Berlin
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
20 710 Ft
This book serves as an introduction to topology, a branch of mathematics that studies the qualitativ...

Információk a könyvről

Szerző
Gerd Laures, Markus Szymik
Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
2025
oldal
250
EAN
9783662706015
Enbook ID
47013776
Kiadó
Springer, Berlin
Súly
400
Méretek
155 x 235

Teljes leírás

This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects. It is designed as a bridge between elementary courses in analysis and linear algebra and more advanced classes in algebraic and geometric topology, making it particularly suitable for both undergraduate and graduate mathematics students. Additionally, it can be used for self-study.

The authors employ the modern language of category theory to unify and clarify the concepts presented, with definitions supported by numerous examples and illustrations. The book includes over 170 exercises that reinforce and deepen the understanding of the material. Many sections feature brief insights into advanced topics, providing a foundation for study projects or seminar presentations.

In addition to set-theoretic topology, the book covers essential concepts such as fundamental groups, covering spaces, bundles, sheaves, and simplicial methods, which are vital in contemporary geometry and topology.

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